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Functions of extended class in the theory of functions of several complex variables


Author: Stefan Bergman
Journal: Trans. Amer. Math. Soc. 63 (1948), 523-547
MSC: Primary 30.0X
DOI: https://doi.org/10.1090/S0002-9947-1948-0025583-9
MathSciNet review: 0025583
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  • [1] Stefan Bergman, Über die Kernfunktion eines Bereiches und ihr Verhalten am Rande, J. Reine Angew. Math. vol. 169 (1933) pp. 1-42, and vol. 172 (1934) pp. 89-128.
  • [2] -, Über eine in gewissen Bereichen mit Maximumfläche gültige Integralderstellung der Funktionen zweier komplexer Variabler, Math. Zeit. vol. 39 (1935) pp. 76-94 and 605-608.
  • [3] -, Über eine Integraldarstellung von Funktionen zweier komplexer Veränderlichen, Rec. Math. (Mat. Sbornik) N. S. vol. 1 (1936) pp. 851-862.
  • [4] -, Über meromorphe Funktionen von zwei komplexen Veränderlichen, Compositio Math. vol. 6 (1939) pp. 305-335. MR 1557031
  • [5] -, Theory of pseudo-conformal transformations and its connection with differential geometry, Notes on lectures delivered at the Massachusetts Institute of Technology, 1939-1940 (available at the Brown University library).
  • [6] -, On the surface integrals of functions of two complex variables, Amer. J. Math. vol. 63 (1941) pp. 295-318. MR 0003820 (2:277b)
  • [7] -, Über uneigentliche Flächenintegrale in der Theorie der analytischen Funktionen von zwei komplexen Veranderlichen, Revista de Ciencias, Universidad Nacional Mayor de San Marcos, Lima, Peru, no. 438 (1941) pp. 675-682, no. 439 (1942) pp. 131-140, no. 441 (1942) pp. 377-394. MR 0007447 (4:140a)
  • [8] -, The behavior of the kernel function at boundary points of the second order, Amer. J. Math. vol. 65 (1943) pp. 679-700. MR 0009059 (5:95b)
  • [9] S. Bergman and M. Schiffer, Bounded functions of two complex variables, Amer. J. Math. vol. 66 (1944) pp. 161-169. MR 0009995 (5:235c)
  • [10] Lipman Bers, On bounded analytic functions of two complex variables in certain domain with distinguished boundary surface, Amer. J. Math. vol. 64 (1942) pp. 514-530. MR 0007446 (4:139d)
  • [11] Abe Gelbart, On the growth properties of a function of two complex variables given by its power series expansion, Trans. Amer. Math. Soc. vol. 49 (1941) pp. 199-210. MR 0003819 (2:277a)

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DOI: https://doi.org/10.1090/S0002-9947-1948-0025583-9
Article copyright: © Copyright 1948 American Mathematical Society

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